72626490432000 has 1280 divisors, whose sum is σ = 284445565747200. Its totient is φ = 18204150988800.

The previous prime is 72626490431939. The next prime is 72626490432011. The reversal of 72626490432000 is 23409462627.

72626490432000 is a `hidden beast` number, since 7 + 262 + 64 + 9 + 0 + 4 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×72626490432000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37571903034 + ... + 37571904966.

It is an arithmetic number, because the mean of its divisors is an integer number (222223098240).

Almost surely, 2^{72626490432000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72626490432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142222782873600).

72626490432000 is an abundant number, since it is smaller than the sum of its proper divisors (211819075315200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72626490432000 is a wasteful number, since it uses less digits than its factorization.

72626490432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 72626490432000 its reverse (23409462627), we get a palindrome (72649899894627).

The spelling of 72626490432000 in words is "seventy-two trillion, six hundred twenty-six billion, four hundred ninety million, four hundred thirty-two thousand".